Search a number
-
+
233445240 = 2335574773
BaseRepresentation
bin11011110101000…
…01011101111000
3121021021020200000
431322201131320
5434230221430
635055313000
75533152240
oct1572413570
9537236600
10233445240
1110a856956
126621b760
13394974a2
142300ab20
1515763e60
hexdea1778

233445240 has 384 divisors, whose sum is σ = 930908160. Its totient is φ = 51508224.

The previous prime is 233445209. The next prime is 233445259. The reversal of 233445240 is 42544332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3197844 + ... + 3197916.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2233445240 is an apocalyptic number.

233445240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

233445240 is an abundant number, since it is smaller than the sum of its proper divisors (697462920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233445240 is a wasteful number, since it uses less digits than its factorization.

233445240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 233445240 is about 15278.9148829359. The cubic root of 233445240 is about 615.7366544543.

Adding to 233445240 its reverse (42544332), we get a palindrome (275989572).

It can be divided in two parts, 2334 and 45240, that added together give a palindrome (47574).

The spelling of 233445240 in words is "two hundred thirty-three million, four hundred forty-five thousand, two hundred forty".